19955238220800 has 1188 divisors, whose sum is σ = 77159269248516. Its totient is φ = 4926269030400.

The previous prime is 19955238220769. The next prime is 19955238220847. The reversal of 19955238220800 is 802283255991.

It is a happy number.

19955238220800 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 52 + 382 + 208 + 0 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 18272136766464 + 1683101454336 = 4274592^2 + 1297344^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 327135052770 + ... + 327135052830.

Almost surely, 2^{19955238220800} is an apocalyptic number.

19955238220800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19955238220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38579634624258).

19955238220800 is an abundant number, since it is smaller than the sum of its proper divisors (57204031027716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19955238220800 is an frugal number, since it uses more digits than its factorization.

19955238220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 19955238220800 in words is "nineteen trillion, nine hundred fifty-five billion, two hundred thirty-eight million, two hundred twenty thousand, eight hundred".